Answers edited by Konstantinos Michailidis

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• How do you find the arc length of the curve #y = 2 − x^2# from [0,1]?
  
• How do you simplify #sqrt(18x^6)#?
  
• How do you simplify #(y^2 + 3y - 4)/( 7y^3 + 7y^2 - 14y )#?
  
• How do you factor #y = 2x^3+x-3#?
  
• How do you find the axis of symmetry and vertex point of the function: #y=x^2-7x+12#?
  
• How do you solve the system of equations: y = 3x - 4 and 2x - y = 1?
  
• How to evaluate the definite integral (0,1) ∫ cos(πt/2)dt ?
  
• How do you graph #y=3(x+3)^2 - 3#?
  
• What is the domain and range of {(-6,5),(-3,-4),(-2,-7),(2,-1)}?
  
• How do you find a polynomial function with zeroes 5,-3?
  
• How can spectroscopy be used to identify elements in stars?
  
• What are the asymptotes for #y = (x + 1)/(x - 1)#?
  
• What is 4 divided by 5/8?
  
• How do you solve the inequality #-6+2k<6#?
  
• What is the limit of #cosx# as x goes to infinity?
  
• The equation of line m is 8x-7y+10=0. a. For what value of k is the graph kx-7y+10=0 parallel to line m? b. What is k if the graphs of m and kx-7y+10=0 are perpendicular?
  
• What are the major causes of land pollution?
  
• How do you calculate the distance between F = (2,2) and M = (5,-4)?
  
• What is the 5th root of 160?
  
• How do you solve #sin x + cos x = 1#?
  
• How to evaluate the integral using integration by parts with the indicated choices of u and dv. #int (lny)/sqrt(y) dy# ?
  
• If f is continuous and (0,4)∫ f(x) dx = -18, how to evaluate (0,2)∫ f(2x) dx ?
  
• What is the derivative of #ln(10-x)#?
  
• What is the area of a triangle whose vertices are the points with coordinates (3,2) (5,10) and (8,4)?
  
• What energy conversion takes place during photosynthesis?
  
• How do you find the inverse of #f(x)=x^2-6x#?
  
• What is shear?
  
• Question #7a4fb
  
• How do you simplify #5 x + 3 − x + 2 x ^2 + 4 x + 3#?
  
• How do find the second derivative for #dy/dx = 5x^2 - 6/(y-2)#?
  
• How do you find the length of side c for the triangle with dimensions A = 57° , a = 11, b = 10?
  
• What is the domain of #y= 5x^2 - 5x^(1/3)#?
  
• Given that #2^(x-3)/8^(2y-3)# = #16^(x-y)# , show that #3x + 2y = 6# ?
  
• How do you find the average rate of change for the function #s(t)=4.5t^2# on the indicated intervals [6,6+h]?
  
• How do you find the integral of #int cos^2theta#?
  
• What is the domain of #f(x) = sqrt(x^2(x-3)(x-4))#?
  
• Question #2e22f
  
• How do you solve #4x-30> -3x+12#?
  
• Question #37a92
  
• How do you use the square roots of 144 and 169 to estimate the square root of 154?
  
• How do you solve #2 sin^2 (theta) + 3 sin (theta) + 1 = 0# from [0,2pi]?
  
• How do you solve #5sin^2x + 3cos^2x = 4#?
  
• How can trade bring countries together?
  
• Is the function #(2-x)^(1/3)# even, odd or neither?
  
• How do you factor #x^3 + 216#?
  
• How do you use substitution to integrate #xsqrt(2x-1)#?
  
• How do you find the range of #f(x)=x^2 + 3#?
  
• Question #789fb
  
• What is the domain of #f(x) = sqrt(x + 7)#?
  
• How do I find the value of sin 105?
  
• How do you simplify # [(sqrt2) + (sqrt5)] / [(sqrt2) – (sqrt5)]#?
  
• How do I find the value of cos pi/12?
  
• How do you divide #3x^4+5x^3-x^2+x-2 # by #x-2#?
  
• How do you simplify #3^10-3^2#?
  
• How do you find the Integral of #ln(2x+1)#?
  
• How do you find the length of the cardioid #r=1+sin(theta)#?
  
• How do you find the domain and range of #x/(x^2+1)#?
  
• Given the function k described by k (x) = x + 18, how do you find k(c+6)?
  
• How do I use polar coordinates to find the volume of a sphere of radius #r#?
  
• How do you differentiate # f(x) = [ (2x)/(log(x)) ] - [ x/(log²(x)) ] #?
  
• Question #bffdf
  
• How do you write #y=5x^2+5x-3# in factored form?
  
• How do you factor #5y + 15#?
  
• How do you graph #x^2 + y^2 - 8x - 6y - 11 = 0#?
  
• How do you solve the identity #sin x + sqrt2 = - sin x#?
  
• How do you solve and graph #1 <= x + 3 < 5#?
  
• Let #h(t) = (2-t)/(t)# and #g(t)= (3t+15)/t#, how do you find (h/g)(t) and the domain for h/g?
  
• How do you solve #X + sqrt( X + 5) = 7#?
  
• How do you differentiate #G(x) = intsqrtt sint dt# from #sqrt(x)# to #x^3#?
  
• How do you factor #5a^2 + 10ab - 40b^2#?
  
• How do you simplify #sqrt50-sqrt18#?
  
• How do you find the axis of symmetry and vertex point of the function: #y=1/12x^2#?
  
• What is the derivative of #tanx^3#?
  
• What is #root(oo)(125)# ?
  
• How do you rationalize the denominator and simplify #1/(sqrt2+sqrt5+sqrt3)#?
  
• If #f(x) = sqrt(x - 5)#, for #x ≥ 5#, what is the inverse of #f(2)# ?
  
• How do you rationalize the denominator and simplify #2/(sqrt6-sqrt5)#?
  
• How do you solve # lnx+ln(x-2)=3#?
  
• How do you simplify # r^5 - r^4#?
  
• How do you graph and find the discontinuities of #(x^2)/(x-1)#?
  
• There is only one vartical asymptote of the curve: #y=(2x+1)/(x^2-x+k)# What is the sum of values that #k# can have?
  
• Question #1e0b2
  
• How do you simplify #8(3x-5)-6x#??
  
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